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\left(6x^{3}y-7z^{2}\right)\left(6x^{3}y+7z^{2}\right)
Rewrite 36x^{6}y^{2}-49z^{4} as \left(6x^{3}y\right)^{2}-\left(7z^{2}\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(6yx^{3}-7z^{2}\right)\left(6yx^{3}+7z^{2}\right)
Reorder the terms.